Prime p₀= 2807582965356569999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2807580952419889537	0 12 52 100 114 132 136 166 210 240 244 262 276 324 364 376	-2012936680462
SPT(16)	2807581359782823839	0 14 54 122 144 152 158 204 248 294 300 308 330 398 438 452	-1605573746160
STPT(10)	2807581644433777997	0 2 30 32 60 62 90 92 120 122	-1320922792002
SPT(16)	2807582272292123059	0 34 42 90 114 138 144 154 198 208 214 238 262 310 318 352	-693064446940
SPT(16)	2807582531908036691	0 6 48 86 120 138 152 158 240 246 260 278 312 350 392 398	-433448533308
STPT(10)	2807582952912183539	0 2 18 20 30 32 42 44 60 62	-12444386460
STPT(10)	2807583079547599181	0 2 6 8 48 50 90 92 96 98	114191029182
STPT(10)	2807583141658714841	0 2 36 38 78 80 120 122 156 158	176302144842
STPT(10)	2807583342248527067	0 2 30 32 42 44 54 56 84 86	376891957068
STPT(10)	2807583626357747519	0 2 42 44 120 122 198 200 240 242	661001177520
SPT(16)	2807583859071223651	0 12 18 40 46 58 66 70 198 202 210 222 228 250 256 268	893714653652